摘要翻译:
我们考虑开集上的$\CO$--模的相干和内聚束$\Omega\子集\BC^N$。我们证明了相干滑轮,以及由它们衍生出的某些其它滑轮是内聚的;相反,某些由内聚滑轮衍生而来的滑轮是连贯的。其中的一个重要工具是Banach空间值全纯芽的束是平坦的,在这里也得到了证明。
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英文标题:
《Coherent sheaves and cohesive sheaves》
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作者:
Laszlo Lempert
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Complex Variables 复变数
分类描述:Holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves
全纯函数,自守群作用与形式,伪凸性,复几何,解析空间,解析束
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
We consider coherent and cohesive sheaves of $\cO$--modules over open sets $\Omega\subset\bC^n$. We prove that coherent sheaves, and certain other sheaves derived from them, are cohesive; and conversely, certain sheaves derived from cohesive sheaves are coherent. An important tool in all this, also proved here, is that the sheaf of Banach space valued holomorphic germs is flat.
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PDF链接:
https://arxiv.org/pdf/0808.1717